Advances in Theoretical & Computational Physics(ATCP)
ISSN: 2639-0108 | DOI: 10.33140/ATCP
Impact Factor: 2.6
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Four-Dimensional Differential Operator
Abstract
Uchida Keitaroh
The hyper-exponential function is a great family of special functions. When we configure a complex plane with a vector of an arbitrary direction in three-dimensional space as the real axis and time as the imaginary axis, by using the variables on this complex plane the hyper-exponential function of second-order proves to be a harmonic function. Based on this, I use quaternion to define my own four-dimensional differential operator and show its characteristics.